answer is 25
Step-by-step explanation:
for something like this you need to use the law of sins. First identify all the angles. There is a 90 degree angle and a 59 degree angle and those are clear. the missing angle is = 59 + 90 = 149
since a triangle has 180 degrees in total you say 180 - 149 = 31. the missing angle is 31 degrees. so we give the angles names. angle with 59 degrees will be angle A, 90 will be B and 31 will be C. So now we just give the sides names. let's replace that x with an a since it's across angle A. the side along angle B will be named b and the side along angle C will be named c. so you say:
Sin A/ a (sin A over a) = Sin B/b = Sin C/c
Sin A is what we are looking for so we say
59 degrees over/ x = sin 31 degrees/ 13 (we leave out the 90 degrees since we don't know the side and also we are not interested in it)
now we do cross multiplying.
say x ×sin 31 degrees = 13× sin 59
now divide these by sin 31
x = 13 × sin 59 ÷ 31 = 25
Answer:
Step-by-step explanation:
To get the reasonable range of the situation, we will find the minimum value and maximum value of the calories that can be dressed.
The minimum occur at when x = 0
f(0) = 100(0) +50.
f(0) = 50
Hence the minimum value of the calorie is 50.
The maximum value occur at f'(x)
f'(x) = 100
Hence the maximum value of the calorie is 100
Hence, the reasonable range for the situation is 50 ≤ x ≤ 100
Answer:
36
Step-by-step explanation:
5(4)+16=20+16=36
<em>GCF = 38</em>
- Step-by-step explanation:
<em>38 = 2×19</em>
<em>76 = 4×19 = 2²×19</em>
<em>114 = 2×3×19</em>
<em>GCF = 2×19 = 38</em>
11/12 i believe that is the answer
